What is expand (6x+5y)^3 ?

The solution to expand (6x+5y)^3 is 216x^3+540x^2y+450xy^2+125y^3

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expand (6x+5y)^3

expand

(6 x + 5 y)^{3}

216 x^{3} + 540 x^{2} y + 450 x y^{2} + 125 y^{3}

Solution steps

(6 x + 5 y)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(6 x + 5 y)^{3} = (6 x)^{3} + 3 (6 x)^{2} \cdot 5 y + 3 \cdot 6 x (5 y)^{2} + (5 y)^{3}

= (6 x)^{3} + 3 (6 x)^{2} \cdot 5 y + 3 \cdot 6 x (5 y)^{2} + (5 y)^{3}

Simplify

(6 x)^{3} + 3 (6 x)^{2} \cdot 5 y + 3 \cdot 6 x (5 y)^{2} + (5 y)^{3} : 216 x^{3} + 540 x^{2} y + 450 x y^{2} + 125 y^{3}

= 216 x^{3} + 540 x^{2} y + 450 x y^{2} + 125 y^{3}

\frac{1 + 1}{x ^{2}}

(3 x^{- 7} \cdot y^{7} \cdot z^{- 5})^{- 1}

25 x^{4} y^{4} - 91 x^{2} y^{4} - 36 y^{4}

(\frac{x + 1}{x}) (\frac{x - 1}{x}) (\frac{x ^{2} + 1}{( x ^{2} )})

\frac{( m ^{3} - m ^{4} )}{( m ^{2} - 8 m + 7 )}

What is expand (6x+5y)^3 ?
The solution to expand (6x+5y)^3 is 216x^3+540x^2y+450xy^2+125y^3